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Finding the Third Proportional to 721,035 and 1,669,152

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Solution

The third proportional to 721,035 and 1,669,152 is: 3,863,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,035 : 1,669,152 = 1,669,152 : x
  2. Step 2: Convert to fraction form
    721,035/1,669,152 = 1,669,152/x
  3. Step 3: Cross multiply
    721,035x = 1,669,152 × 1,669,152
  4. Step 4: Simplify right side
    721,035x = 2,786,068,399,104
  5. Step 5: Solve for x
    x = 2,786,068,399,104/721,035
  6. Step 6: Final answer
    x = 3,863,984.96

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.